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Finding the Fourth Proportional to 4,684.82, 7,026.44 and 1,564.25

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Solution

The fourth proportional to 4,684.82, 7,026.44 and 1,564.25 is: 2,346.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.82 : 7,026.44 = 1,564.25 : x
  2. Step 2: Convert to fraction form
    4,684.82/7,026.44 = 1,564.25/x
  3. Step 3: Cross multiply
    4,684.82x = 7,026.44 × 1,564.25
  4. Step 4: Simplify right side
    4,684.82x = 10,991,065.82
  5. Step 5: Solve for x
    x = 10,991,065.82/4,684.82
  6. Step 6: Final answer
    x = 2,346.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.